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Finding the Fourth Proportional to 80,975.20, 121,462.80 and 25,571.20

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Solution

The fourth proportional to 80,975.20, 121,462.80 and 25,571.20 is: 38,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,975.20 : 121,462.80 = 25,571.20 : x
  2. Step 2: Convert to fraction form
    80,975.20/121,462.80 = 25,571.20/x
  3. Step 3: Cross multiply
    80,975.20x = 121,462.80 × 25,571.20
  4. Step 4: Simplify right side
    80,975.20x = 3,105,949,551.36
  5. Step 5: Solve for x
    x = 3,105,949,551.36/80,975.20
  6. Step 6: Final answer
    x = 38,356.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.